Chosen Fixed Point
Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.
# | Theory | Superpotential | Central charge $a$ | Central charge $c$ | Ratio $a/c$ | Matter field: $R$-charge | U(1) part of $F_{UV}$ | Rank of $F_{UV}$ | Rational |
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2030 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6489 | 0.8087 | 0.8024 | [X:[1.5766], M:[0.4234, 1.1922, 0.7883, 0.8467, 0.8078, 0.8273], q:[0.7981, 0.7786], qb:[0.4331, 0.3747], phi:[0.4039]] | [X:[[12]], M:[[-12], [4], [6], [-24], [-4], [-14]], q:[[1], [11]], qb:[[-17], [13]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{6}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{3}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }M_{6}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ | ${}M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | -2 | t^2.365 + 2*t^2.423 + t^2.482 + t^2.54 + t^3.46 + t^3.635 + t^3.693 + t^3.81 + t^4.671 + 2*t^4.73 + t^4.788 + 5*t^4.847 + 3*t^4.905 + 2*t^4.964 + t^5.022 + t^5.08 + 3*t^5.883 - 2*t^6. + 2*t^6.058 + 2*t^6.117 + t^6.175 + 3*t^6.234 + t^6.292 + t^6.351 + t^6.92 - 2*t^7.036 + 3*t^7.095 + 2*t^7.153 + t^7.212 + 8*t^7.27 + 6*t^7.329 + 4*t^7.387 + 4*t^7.445 + 3*t^7.504 + t^7.562 + 2*t^7.621 + t^8.131 - 2*t^8.248 + 3*t^8.307 - t^8.365 - 5*t^8.423 + 2*t^8.54 + t^8.599 + 5*t^8.657 + 3*t^8.715 + 3*t^8.774 + t^8.832 + t^8.891 - t^4.212/y - t^6.577/y - t^6.635/y - t^6.693/y - t^6.752/y + t^7.671/y + t^7.73/y + (3*t^7.788)/y + (3*t^7.847)/y + (3*t^7.905)/y + (2*t^7.964)/y + t^8.022/y + t^8.825/y + (2*t^8.883)/y - t^4.212*y - t^6.577*y - t^6.635*y - t^6.693*y - t^6.752*y + t^7.671*y + t^7.73*y + 3*t^7.788*y + 3*t^7.847*y + 3*t^7.905*y + 2*t^7.964*y + t^8.022*y + t^8.825*y + 2*t^8.883*y | g1^6*t^2.365 + (2*t^2.423)/g1^4 + t^2.482/g1^14 + t^2.54/g1^24 + g1^24*t^3.46 + t^3.635/g1^6 + t^3.693/g1^16 + t^3.81/g1^36 + g1^22*t^4.671 + 2*g1^12*t^4.73 + g1^2*t^4.788 + (5*t^4.847)/g1^8 + (3*t^4.905)/g1^18 + (2*t^4.964)/g1^28 + t^5.022/g1^38 + t^5.08/g1^48 + 3*g1^20*t^5.883 - 2*t^6. + (2*t^6.058)/g1^10 + (2*t^6.117)/g1^20 + t^6.175/g1^30 + (3*t^6.234)/g1^40 + t^6.292/g1^50 + t^6.351/g1^60 + g1^48*t^6.92 - 2*g1^28*t^7.036 + 3*g1^18*t^7.095 + 2*g1^8*t^7.153 + t^7.212/g1^2 + (8*t^7.27)/g1^12 + (6*t^7.329)/g1^22 + (4*t^7.387)/g1^32 + (4*t^7.445)/g1^42 + (3*t^7.504)/g1^52 + t^7.562/g1^62 + (2*t^7.621)/g1^72 + g1^46*t^8.131 - 2*g1^26*t^8.248 + 3*g1^16*t^8.307 - g1^6*t^8.365 - (5*t^8.423)/g1^4 + (2*t^8.54)/g1^24 + t^8.599/g1^34 + (5*t^8.657)/g1^44 + (3*t^8.715)/g1^54 + (3*t^8.774)/g1^64 + t^8.832/g1^74 + t^8.891/g1^84 - t^4.212/(g1^2*y) - (g1^4*t^6.577)/y - t^6.635/(g1^6*y) - t^6.693/(g1^16*y) - t^6.752/(g1^26*y) + (g1^22*t^7.671)/y + (g1^12*t^7.73)/y + (3*g1^2*t^7.788)/y + (3*t^7.847)/(g1^8*y) + (3*t^7.905)/(g1^18*y) + (2*t^7.964)/(g1^28*y) + t^8.022/(g1^38*y) + (g1^30*t^8.825)/y + (2*g1^20*t^8.883)/y - (t^4.212*y)/g1^2 - g1^4*t^6.577*y - (t^6.635*y)/g1^6 - (t^6.693*y)/g1^16 - (t^6.752*y)/g1^26 + g1^22*t^7.671*y + g1^12*t^7.73*y + 3*g1^2*t^7.788*y + (3*t^7.847*y)/g1^8 + (3*t^7.905*y)/g1^18 + (2*t^7.964*y)/g1^28 + (t^8.022*y)/g1^38 + g1^30*t^8.825*y + 2*g1^20*t^8.883*y |
Deformation
Here is the data for the deformed fixed points from the chosen fixed point.
# | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
---|---|---|---|---|---|---|---|---|
3095 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{6}$ | 0.6069 | 0.755 | 0.8039 | [X:[1.4737], M:[0.5263, 1.1579, 0.7368, 1.0526, 0.8421, 0.9474], q:[0.7895, 0.6842], qb:[0.5789, 0.2632], phi:[0.4211]] | t^2.211 + 2*t^2.526 + 2*t^2.842 + t^3.158 + t^3.789 + 2*t^4.105 + 2*t^4.421 + 2*t^4.737 + 5*t^5.053 + 6*t^5.368 + 3*t^5.684 - t^6. - t^4.263/y - t^4.263*y | detail | {a: 66609/109744, c: 41427/54872, X1: 28/19, M1: 10/19, M2: 22/19, M3: 14/19, M4: 20/19, M5: 16/19, M6: 18/19, q1: 15/19, q2: 13/19, qb1: 11/19, qb2: 5/19, phi1: 8/19} |
3096 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{7}$ | 0.637 | 0.7874 | 0.8089 | [X:[1.5568], M:[0.4432, 1.1856, 0.7784, 0.8863, 0.8144, 0.8504, 1.1137], q:[0.7964, 0.7604], qb:[0.4612, 0.3532], phi:[0.4072]] | t^2.335 + 2*t^2.443 + t^2.551 + 2*t^3.341 + t^3.665 + t^3.773 + t^3.989 + t^4.563 + 2*t^4.67 + t^4.778 + 5*t^4.886 + 2*t^4.994 + t^5.676 + 5*t^5.784 + t^5.892 - 3*t^6. - t^4.222/y - t^4.222*y | detail | |
3097 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ | 0.6673 | 0.8414 | 0.7931 | [X:[1.5696], M:[0.4304, 1.1899, 0.7848, 0.8609, 0.8101, 0.8355, 0.7594], q:[0.7975, 0.7721], qb:[0.4431, 0.367], phi:[0.4051]] | t^2.278 + t^2.354 + 2*t^2.43 + t^2.506 + t^2.583 + t^3.417 + t^3.646 + t^3.874 + t^4.557 + 2*t^4.633 + 4*t^4.709 + 2*t^4.785 + 6*t^4.861 + 3*t^4.937 + 2*t^5.013 + t^5.089 + t^5.165 + t^5.696 + 3*t^5.848 + t^5.924 - 2*t^6. - t^4.215/y - t^4.215*y | detail |
Equivalent Fixed Points from Other Seed Theories
Here is a list of equivalent fixed points from other gauge theories.
# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
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Equivalent Fixed Points from the Same Seed Theory
Below is a list of equivalent fixed points from the same seed theories.
id | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | More Info. | Rational |
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Previous Theory
The previous fixed point before deforming to get the chosen fixed point.
# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
---|---|---|---|---|---|---|---|---|---|
862 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{2}M_{5}$ | 0.6345 | 0.7831 | 0.8102 | [X:[1.5667], M:[0.4333, 1.1889, 0.7834, 0.8665, 0.8111], q:[0.7972, 0.7695], qb:[0.4471, 0.364], phi:[0.4055]] | t^2.35 + 2*t^2.433 + t^2.6 + t^3.4 + t^3.484 + t^3.65 + t^3.733 + t^3.899 + t^4.617 + 2*t^4.7 + t^4.783 + 4*t^4.867 + t^4.95 + t^5.033 + t^5.199 + 4*t^5.834 + t^5.917 - 2*t^6. - t^4.217/y - t^4.217*y | detail |